What is the Greatest Common Factor of 97400 and 97409?

Greatest common factor (GCF) of 97400 and 97409 is 1.

GCF(97400,97409) = 1

We will now calculate the prime factors of 97400 and 97409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97400 and 97409.

How to find the GCF of 97400 and 97409?

We will first find the prime factorization of 97400 and 97409. After we will calculate the factors of 97400 and 97409 and find the biggest common factor number .

Step-1: Prime Factorization of 97400

Prime factors of 97400 are 2, 5, 487. Prime factorization of 97400 in exponential form is:

97400 = 2³ × 5² × 487¹

Step-2: Prime Factorization of 97409

Prime factors of 97409 are 13, 59, 127. Prime factorization of 97409 in exponential form is:

97409 = 13¹ × 59¹ × 127¹

Step-3: Factors of 97400

List of positive integer factors of 97400 that divides 97400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435, 3896, 4870, 9740, 12175, 19480, 24350, 48700

Step-4: Factors of 97409

List of positive integer factors of 97409 that divides 97400 without a remainder.

1, 13, 59, 127, 767, 1651, 7493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97400 and 97409. The biggest common factor number is the GCF number.
So the greatest common factor 97400 and 97409 is 1.

Also check out the Least Common Multiple of 97400 and 97409